13251978720 has 144 divisors (see below), whose sum is σ = 47882605680. Its totient is φ = 3325980672.

The previous prime is 13251978643. The next prime is 13251978743. The reversal of 13251978720 is 2787915231.

13251978720 is a `hidden beast` number, since 1 + 32 + 519 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13251978720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246190 + ... + 295149.

It is an arithmetic number, because the mean of its divisors is an integer number (332518095).

Almost surely, 2^13251978720 is an apocalyptic number.

13251978720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13251978720 is an abundant number, since it is smaller than the sum of its proper divisors (34630626960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13251978720 is a wasteful number, since it uses less digits than its factorization.

13251978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541377 (or 541366 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13251978720 in words is "thirteen billion, two hundred fifty-one million, nine hundred seventy-eight thousand, seven hundred twenty".